Answer:
y/x =2/3
Step-by-step explanation:
you just need see at one point. for example: (3, 2)
The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.
![P(c)=-20c^2+320c+5120 \\ \\ a=-20 \\ b=320 \\ \\ \hbox{the vertex } (h,k): \\ h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\ k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\ =-1280+2560+5120=6400](https://tex.z-dn.net/?f=P%28c%29%3D-20c%5E2%2B320c%2B5120%20%5C%5C%20%5C%5C%0Aa%3D-20%20%5C%5C%0Ab%3D320%20%5C%5C%20%5C%5C%0A%5Chbox%7Bthe%20vertex%20%7D%20%28h%2Ck%29%3A%20%5C%5C%0Ah%3D%5Cfrac%7B-b%7D%7B2a%7D%3D%5Cfrac%7B-320%7D%7B2%20%5Ctimes%20%28-20%29%7D%3D%5Cfrac%7B-320%7D%7B-40%7D%3D8%20%5C%5C%0Ak%3Df%28h%29%3Df%288%29%3D-20%20%5Ctimes%208%5E2%2B320%20%5Ctimes%208%2B5120%3D%20%5C%5C%0A%3D-1280%2B2560%2B5120%3D6400)
The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.
The maximum profit the company can make is $640,000.
Answer:
x = -4
Step-by-step explanation:
First lets add 82 + 55 which equals 137, then 137 +47 which equals 184
Now we know that a triangle equals 180 degrees (cannot go over 180), so this tells us x is a negitive number.
-x + 184 = 180
-x = -4
Another way to look at it is; 184 minus what equals 180? 4 does, so it translates into -4.
Using the normal distribution, it is found that 1851 people would have an IQ less than 115.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
![\mu = 100, \sigma = 15](https://tex.z-dn.net/?f=%5Cmu%20%3D%20100%2C%20%5Csigma%20%3D%2015)
The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{115 - 100}{15}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B115%20-%20100%7D%7B15%7D)
Z = 1
Z = 1 has a p-value of 0.8413.
Out of 2200 people:
0.8413 x 2200 = 1851.
More can be learned about the normal distribution at brainly.com/question/27643290
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Answer:
I think the answer is m=3
Step-by-step explanation:
Hope this helps :D